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+---
+title: Math.atanh()
+slug: Web/JavaScript/Reference/Global_Objects/Math/atanh
+tags:
+  - JavaScript
+  - Math
+  - Method
+  - Reference
+  - Referencia
+  - metodo
+translation_of: Web/JavaScript/Reference/Global_Objects/Math/atanh
+---
+<div>{{JSRef}}</div>
+
+<p>A função <strong><code>Math.atanh()</code></strong> retorna o arco tangente hiperbólico de um número, onde</p>
+
+<p><math display="block"><semantics><mrow><mo>∀</mo><mi>x</mi><mo>∊</mo><mrow><mo>(</mo><mrow><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mrow><mo>)</mo></mrow><mo>,</mo><mstyle mathvariant="monospace"><mrow><mo lspace="0em" rspace="thinmathspace">Math.atanh</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow></mstyle><mo>=</mo><mo lspace="0em" rspace="thinmathspace">arctanh</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mtext> the unique </mtext><mspace width="thickmathspace"></mspace><mi>y</mi><mspace width="thickmathspace"></mspace><mtext>such that</mtext><mspace width="thickmathspace"></mspace><mo lspace="0em" rspace="0em">tanh</mo><mo stretchy="false">(</mo><mi>y</mi><mo stretchy="false">)</mo><mo>=</mo><mi>x</mi></mrow><annotation encoding="TeX">\forall x \in \left( -1, 1 \right), \mathtt{\operatorname{Math.atanh}(x)} = \operatorname{arctanh}(x) = \text{ the unique } \; y \; \text{such that} \; \tanh(y) = x</annotation></semantics></math></p>
+
+<h2 id="Sintaxe">Sintaxe</h2>
+
+<pre class="syntaxbox"><code>Math.atanh(<var>x</var>)</code></pre>
+
+<h3 id="Parâmetros">Parâmetros</h3>
+
+<dl>
+ <dt><code>x</code></dt>
+ <dd>O número.</dd>
+</dl>
+
+<h3 id="Valor_retornado">Valor retornado</h3>
+
+<p>O arco tangente hiperbólico do parâmetro recebido.</p>
+
+<h2 id="Descrição">Descrição</h2>
+
+<p>Por <code>atanh()</code> ser um método estático de <code>Math</code>, deve-se sempre usá-lo como <code>Math.atanh()</code>, e não como um método de um objeto <code>Math</code> que você criou.</p>
+
+<h2 id="Exemplos">Exemplos</h2>
+
+<h3 id="Usando_Math.atanh()">Usando <code>Math.atanh()</code></h3>
+
+<pre class="brush: js">Math.atanh(-2);  // NaN
+Math.atanh(-1);  // -Infinity
+Math.atanh(0);   // 0
+Math.atanh(0.5); // 0.5493061443340548
+Math.atanh(1);   // Infinity
+Math.atanh(2);   // NaN
+</pre>
+
+<p>For values greater than 1 or less than -1, {{jsxref("NaN")}} is returned.</p>
+
+<p>Para valores menores que -1 ou maiores que 1, {{jsxref("NaN")}} é retornado.</p>
+
+<h2 id="Polyfill">Polyfill</h2>
+
+<p>Para <math><semantics><mrow><mrow><mo>|</mo><mi>x</mi><mo>|</mo></mrow><mo>&lt;</mo><mn>1</mn></mrow><annotation encoding="TeX">\left|x\right| &lt; 1</annotation></semantics></math>, temos <math><semantics><mrow><mo lspace="0em" rspace="thinmathspace">artanh</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo lspace="0em" rspace="0em">ln</mo><mrow><mo>(</mo><mfrac><mrow><mn>1</mn><mo>+</mo><mi>x</mi></mrow><mrow><mn>1</mn><mo>-</mo><mi>x</mi></mrow></mfrac><mo>)</mo></mrow></mrow><annotation encoding="TeX">\operatorname {artanh} (x) = \frac{1}{2}\ln \left( \frac{1 + x}{1 - x} \right)</annotation></semantics></math>, esse comportamento pode ser emulado com a seguinte função:</p>
+
+<pre class="brush: js">Math.atanh = Math.atanh || function(x) {
+  return Math.log((1+x)/(1-x)) / 2;
+};
+</pre>
+
+<h2 id="Especificações">Especificações</h2>
+
+<table class="standard-table">
+ <tbody>
+  <tr>
+   <th scope="col">Specification</th>
+   <th scope="col">Status</th>
+   <th scope="col">Comment</th>
+  </tr>
+  <tr>
+   <td>{{SpecName('ES6', '#sec-math.atanh', 'Math.atanh')}}</td>
+   <td>{{Spec2('ES6')}}</td>
+   <td>Definição inicial.</td>
+  </tr>
+  <tr>
+   <td>{{SpecName('ESDraft', '#sec-math.atanh', 'Math.atanh')}}</td>
+   <td>{{Spec2('ESDraft')}}</td>
+   <td> </td>
+  </tr>
+ </tbody>
+</table>
+
+<h2 id="Compatibilidade_no_navegadores">Compatibilidade no navegadores</h2>
+
+<p class="hidden">The compatibility table in this page is generated from structured data. If you'd like to contribute to the data, please check out <a href="https://github.com/mdn/browser-compat-data">https://github.com/mdn/browser-compat-data</a> and send us a pull request.</p>
+
+<p>{{Compat("javascript.builtins.Math.atanh")}}</p>
+
+<h2 id="Veja_também">Veja também</h2>
+
+<ul>
+ <li>{{jsxref("Math.acosh()")}}</li>
+ <li>{{jsxref("Math.asinh()")}}</li>
+ <li>{{jsxref("Math.cosh()")}}</li>
+ <li>{{jsxref("Math.sinh()")}}</li>
+ <li>{{jsxref("Math.tanh()")}}</li>
+</ul>